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A274461
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Least common multiple of first n proper prime powers.
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0
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1, 4, 8, 72, 144, 3600, 10800, 21600, 1058400, 2116800, 6350400, 768398400, 3841992000, 7683984000, 1298593296000, 3895779888000, 7791559776000, 2251760775264000, 15762325426848000, 5690199479092128000, 11380398958184256000, 6020231048879471424000, 30101155244397357120000, 90303465733192071360000
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OFFSET
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0,2
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COMMENTS
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Squares in this sequence include a(0)=1^2, a(1)=2^2, a(4)=12^2, a(5)=60^2, a(10)=2520^2, and a(11)=27720^2. Are there any more?
All terms in this sequence are powerful numbers (A001694).
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LINKS
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MATHEMATICA
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PROG
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(PARI) alist(n)=my(pp=0, x=1); vector(n, k, while(isprimepower(pp++)<2&&pp!=1, 0); x=lcm(x, pp))
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CROSSREFS
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KEYWORD
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nonn
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AUTHOR
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STATUS
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approved
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